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Finding the Third Proportional to 810,162 and 1,766,124

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Solution

The third proportional to 810,162 and 1,766,124 is: 3,850,086.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,162 : 1,766,124 = 1,766,124 : x
  2. Step 2: Convert to fraction form
    810,162/1,766,124 = 1,766,124/x
  3. Step 3: Cross multiply
    810,162x = 1,766,124 × 1,766,124
  4. Step 4: Simplify right side
    810,162x = 3,119,193,983,376
  5. Step 5: Solve for x
    x = 3,119,193,983,376/810,162
  6. Step 6: Final answer
    x = 3,850,086.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.